One of the key use cases proposed for Trust Expressions is enabling a speedy deployment of PQC Certificates. I agree this is an important use case to address, but I think a closer inspection of the existing deployment options shows that Trust Expressions does not provide any improvement or new functionality over existing, already widely deployed solutions.

In particular, having each CA cross-sign their new PQC root with their existing classical root. This does not require any new functionalities or code changes in TLS clients or servers, does not require coordination between CAs / Root Programs / Clients and does not impose any performance impact on the connection (perhaps surprisingly).

The rest of this message details the Trust Expressions proposal for a PQC transition and compares the security and performance to existing solutions.

*The Trust Expressions Proposal for the PQC Transition
*When we come to transition to PQC Certificates, the various Root Programs will include various PQC Roots and start distributing them to their clients. They will also configure their clients to start advertising the relevant PQC / hybrid signature algorithms in their signature_algorithms_cert TLS Extensions. TLS Servers will decide whether to send their classical chain or their PQC chain according to this extension.

The Trust Expressions authors plus quite a few folks on the list have stated that this approach will require us to wait for all major root programs to accept a given PQC Root and then for that PQC root to be ubiquitously supported by all clients which also advertise PQC Signature Support. Otherwise, we might send our new PQ Chain to a client who only has an older set of PQ Roots, which would cause a connection failure. This wait could take a long time, even a year or more.

Trust Expressions proposes that by having clients indicate their trust store label and version, we can mostly skip waiting for ubiquity. Through the Trust Expression's negotiation, we can be sure that we only send the PQC Root Certificate Chain to clients that have already updated to trust it. Meanwhile, clients that don't have PQC Signature support or do support the signatures but don't have the new PQC root will continue to receive the old classical chain and not enjoy any PQ Authentication.

*The Existing Alternative
*I believe this argument for the use of Trust Expressions overlooks existing widely available deployment options for PQC Certificates, which mean that we do not need to wait for multiple root stores to include new PQC certs or for them to become ubiquitous in clients. We will see how we can achieve the exact same properties as Trust Expressions (no waiting for ubiquity, no connection failures and PQ-Auth for all clients with the PQ Root) without the need for any new designs or deployments.

When CAs create roots with new signature algorithms (e.g. ECDSA Roots), it is common practice to cross-sign the new root with the existing root (e.g. an RSA Root). This is the approach taken by Let's Encrypt today, who have an older RSA Root (ISRG X1) and a newer ECDSA Root (ISRG X2). X2 is cross signed by X1, and each of the new ECDSA Intermediates are also cross-signed by X1 [1]. In the context of RSA vs ECDSA, this isn't especially interesting because there's a purely a tradeoff between a smaller chain (ECDSA/X2) vs a more ubiquity (RSA/X1). However, we'll see this approach has much more substantial benefits with PQC Signatures.

When the time comes to ship a PQC Root (which we'll call X3 for convenience), we'll make some PQC Intermediates (F1, F2, F3). We will also cross sign these intermediates with our X2 (ECDSA) Root which we'll call H1, H2, H3. So both F1 and H1 are certificates on the same intermediate PQC Public Key, with F1 having a PQC signature and H1 a ECDSA signature from their respective roots.

When we provision servers with their certificate chains, we'll provision the PQC Chain as their leaf (PQC Public Key + PQC Signature), plus both F1 and H1. Clients that don't indicate support PQC Signatures in their signature_algorithms_cert extension will receive the usual classical chain. Clients that support PQC and have the new root will verify the leaf + F1 and so enjoy PQ-Auth. Clients that support PQC and don't have the new root will verify the leaf and H1 and not receive PQ-Auth.

This achieves identical properties to Trust Expressions in terms of client security and doesn't involve any waiting for PQC Root Ubiquity or Root Store Approval. The only impact is the extra certificate in the chain. Happily, we can cut the overhead of H1 to be a mere 32 bytes with existing TLS Certificate Compression Algorithms like zlib / zstd / brotli (since H1 and F1 encode the same PQC Public Key). This is tiny compared to the necessary PQC Public Key and Signature already in the chain. With new schemes like Abridged Certs, we can go even further and replace all but the leaf certificate with two-byte identifiers.

There are several alternatives available as well depending on the exact use case. For example, we could send only F1 (PQC Intermediate chaining to X3) and an X3 Root signed by X2 - ensuring there's only a single chain and no path building support required. Clients with the X3 PQC Root will not need to check the final ECDSA signatures, others will. With existing TLS Certificate Compression algorithms, this compresses slightly worse than the dual-intermediates chain, but Abridged Certs works just as effectively. AIA Chasing is also deployed in Chrome and could be used to fetch this final cross-sign certificate if desired, although I think stateless mechanisms like Certificate Compression with zlib are preferable.

In the event we'd like to make a second future transition, e.g. from a hybrid PQC signature scheme to a solely PQC scheme, or between PQC schemes, the same approach as above works just as well. I would fully expect by time we'd be considering a second transition, we'd either have mature deployment of solutions like intermediate suppression or abridged certs, or we'd be considering a move away from X.509 entirely to a newer, slimmer, PKI system.

Overall, I hope this is convincing that the Trust Expressions design does not achieve any improvements over existing technology for transitioning to PQC Certs and so I think we can set this proposed use case aside from the wider discussion.

*Wider Thoughts on the PQC Transition
*

In isolation, drafts like Abridged Certs and Trust Expressions can each deliver roughly the same size PQC Certificate Chains, able to compress down everything but the leaf certificate to just a couple of bytes. Depending on whether you expect PQC Signatures for SCTs, this gives an overall size of either ~4 KB - similar to RSA Chains today - or a rather unpalatable ~9 KB.

Although recent work on improved CT log implementations like Sunlight is vital for the ecosystem and fantastic to see, I'm still quite concerned about the long term story for a Post Quantum PKI with strong transparency guarantees. There are existing proposals like Merkle Tree Certificates which look to eliminate X.509 entirely and replace signatures with proofs of inclusions. I think these ideas are pretty exciting and with refinement could be a promising way forwards, but do have a few open problems that we still need to solve (especially on the transparency and availability aspects).

However, we do not need Trust Expressions to do Merkle Tree Certs or any alternative design, these features would necessarily need their own negotiation mechanism and so we should not confuse the two proposals.

Best,
Dennis

[1] https://letsencrypt.org/certificates/ *
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